\[\frac{6c^{2}}{3c - 2} - 2c - 5^{\backslash 3c - 2} =\]
\[= \frac{6c^{2} - (3c - 2)(2c + 5)}{3c - 2} =\]
\[= \frac{6c^{2} - \left( 6c^{2} + 15c - 4c - 10 \right)}{3c - 2} =\]
\[= \frac{6c^{2} - 6c^{2} - 11c + 10}{3c - 2} =\]
\[= \frac{10 - 11c}{3c - 2}\]